Adjunct Partial Array Token Petri Net Structure

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Combinatorial Image Analysis (IWCIA 2022)

Abstract

Adjunct Array Token Petri Net Structure (AATPNS) and Adjunct Hexagonal Array Token Petri Net Structure (AHATPNS) are recently introduced in the literature. Partial Array Token Petri Net Structure (PATPNS) is introduced to generate partial array languages. In this paper, we extend this model using some control device called inhibitor arc and propose Adjunct Partial Array Token Petri Net Structure (APATPNS). It is compared with some partial array generating and recognizing models with respect to the generative power.

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References

  1. Berstel, J., Boasson, L.: Partial words and a theorem of Fine and Wilf. Theoret. Comput. Sci. 218(1), 135–141 (1999)

    Article  MathSciNet  MATH  Google Scholar 

  2. Fernau, H., Freund, R., Holzer, M.: Character recognition with k-head finite array automata. In: Amin, A., Dori, D., Pudil, P., Freeman, H. (eds.) SSPR /SPR 1998. LNCS, vol. 1451, pp. 282–291. Springer, Heidelberg (1998). https://doi.org/10.1007/BFb0033246

    Chapter  Google Scholar 

  3. Giammarresi, D., Restivo, A.: Two - Dimensional Languages. Handbook of Formal Languages, pp. 215–267 (1997)

    Google Scholar 

  4. Kamaraj, T., Lalitha, D., Thomas, D.G.: A comparative study on adjunct array token Petri nets with some classes of array grammars. Appl. Math. Sci. 7(135), 6705–6713 (2013)

    Google Scholar 

  5. Kamaraj, T., Lalitha, D., Thomas, D.G., Thambuarj, R., Atulya, K.: Nagar: adjunct hexagonal array token Petri nets and hexagonal picture languages. Math. Appl. 3, 45–59 (2014)

    Article  MathSciNet  MATH  Google Scholar 

  6. D., L.: Rectangular array languages generated by a Petri net. In: Sethi, I.K. (ed.) Computational Vision and Robotics. AISC, vol. 332, pp. 17–27. Springer, New Delhi (2015). https://doi.org/10.1007/978-81-322-2196-8_3

    Chapter  Google Scholar 

  7. Lalitha, D., Rangarajan, K.: An application of array token Petri nets to clustering analysis for syntactic patterns. Int. J. Comput. Appl. 42(16), 21–25 (2012)

    Google Scholar 

  8. Lalitha, D., Rangarajan, K., Thomas, D.G.: Rectangular arrays and Petri nets. In: Barneva, R.P., Brimkov, V.E., Aggarwal, J.K. (eds.) IWCIA 2012. LNCS, vol. 7655, pp. 166–180. Springer, Heidelberg (2012). https://doi.org/10.1007/978-3-642-34732-0_13

    Chapter  Google Scholar 

  9. Nivat, M., Saoudi, A., Subramanian, K.G., Siromoney, R., Dare, V.R.: Puzzle grammar and context - free array grammars. Int. J. Pattern Recogn. Artif. Intell. 05(05), 663–676 (1991)

    Article  Google Scholar 

  10. Peterson, J.L.: Petri Net Theory and Modeling of Systems. Prentice Hall Inc., Englewood Cliffs (1981)

    MATH  Google Scholar 

  11. Sasikala, K., Kalyani, T., Thomas, D.G.: Partial array grammars and partial array - rewriting \(P\) systems. Math. Eng. Sci. Aero Space 11(1), 227–236 (2020)

    Google Scholar 

  12. Sasikala, K., Sweety, F., Kalyani, T., Thomas, D.G.: Partial array token Petri net and P system. In: Freund, R., Ishdorj, T.-O., Rozenberg, G., Salomaa, A., Zandron, C. (eds.) CMC 2020. LNCS, vol. 12687, pp. 135–152. Springer, Cham (2021). https://doi.org/10.1007/978-3-030-77102-7_8

    Chapter  Google Scholar 

  13. Sweety, F., Sasikala, K., Kalyani, T., Thomas, D.G.: Partial array - rewriting \(P\) systems and basic puzzle partial array grammar. In: AIP Conference Proceedings, vol. 2277, p. 030003 (2020)

    Google Scholar 

  14. Vijaya Chitra, S., Sasikala, K.: Squares in partial arrays. In: AIP Conference Proceedings, vol. 2112, pp. 20–34 (2019)

    Google Scholar 

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Correspondence to T. Kalyani .

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Kalyani, T., Sasikala, K., Thomas, D.G., Bhuvaneswari, K. (2023). Adjunct Partial Array Token Petri Net Structure. In: Barneva, R.P., Brimkov, V.E., Nordo, G. (eds) Combinatorial Image Analysis. IWCIA 2022. Lecture Notes in Computer Science, vol 13348. Springer, Cham. https://doi.org/10.1007/978-3-031-23612-9_12

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  • DOI: https://doi.org/10.1007/978-3-031-23612-9_12

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-031-23611-2

  • Online ISBN: 978-3-031-23612-9

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